Some generalizations of Schur functors

Abstract

The theory of Schur functors provides a powerful and elegant approach to the representation theory of GL_n - at least to the so-called polynomial representations - especially to questions about how the theory varies with n. We develop parallel theories that apply to other classical groups and to non-polynomial representations of GL_n. These theories can also be viewed as linear analogs of the theory of FI-modules.

13 pages

References in corpus (4)

• Introduction to twisted commutative algebras
• Noetherianity of some degree two twisted skew-commutative algebras
• Categories of integrable $sl(\infty )$-, $o(\infty )$-, $sp(\infty )$-modules
• Representation stability for filtrations of Torelli groups

Cited by in corpus (1)

• Ribbon Schur Functors